Overcoming scale usage heterogeneity: A bayesian hierarchical approach

Peter E. Rossi*, Zvi Gilula, Greg M. Allenby

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

152 Scopus citations

Abstract

Questions that use a discrete ratings scale are commonplace in survey research. Examples in marketing include customer satisfaction measurement and purchase intention. Survey research practitioners have long commented that respondents vary in their usage of the scale: Common patterns include using only the middle of the scale or using the upper or lower end. These differences in scale usage can impart biases to correlation and regression analyses. To capture scale usage differences, we developed a new model with individual scale and location effects and a discrete outcome variable. We model the joint distribution of all ratings scale responses rather than specific univariate conditional distributions as in the ordinal probit model. We apply our model to a customer satisfaction survey and show that the correlation inferences are much different once proper adjustments are made for the discreteness of the data and scale usage. We also show that our adjusted or latent ratings scale is more closely related to actual purchase behavior.

Original languageEnglish
Pages (from-to)20-31
Number of pages12
JournalJournal of the American Statistical Association
Volume96
Issue number453
DOIs
StatePublished - 1 Mar 2001

Keywords

  • Hierarchical models
  • Ordinal probit
  • Scaling

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